On Estimating the Residual Rényi Entropy under Progressive Censoring

Jomhoori, Sara; Yousefzadeh, Fatemeh

doi:10.1080/03610926.2013.851219

Cited by 5 publications

(1 citation statement)

References 16 publications

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“…For more information about other applications of Shannon entropy, see Asadi et al, Cover and Thomas, Ebrahimi et al, among others. Dynamic and bivariate versions can be seen in Asadi et al, Chamany and Baratpour, Jomhoori and Yousefzadeh, Navarro et al, and references therein. Another useful measure to obtain the distance between 2 density functions f and g is the Kullback‐Leibler (KL) distance, defined by

K false(f : g false) = \int_{0}^{\infty} f false(x false) normall normalo normalg \frac{f false(x false)}{g false(x false)} d x = - H false(f false) + H false(f, g false),

where

H false(f, g false) = - E_{f} false[normall normalo normalg g false(X false) false]

is known as “Fraser information” (Kent) and is also known as “inaccuracy measure” (Kerridge).…”

Section: Introductionmentioning

confidence: 99%

Some results on information properties of coherent systems

Toomaj

Crescenzo

Doostparast

2017

Appl Stoch Models Bus & Ind

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Mathematics Subject Classification: 62N05; 94A17This paper considers information properties of coherent systems when component lifetimes are independent and identically distributed. Some results on the entropy of coherent systems in terms of ordering properties of component distributions are proposed. Moreover, various sufficient conditions are given under which the entropy order among systems as well as the corresponding dual systems hold. Specifically, it is proved that under some conditions, the entropy order among component lifetimes is preserved under coherent system formations.The findings are based on system signatures as a useful measure from comparison purposes. Furthermore, some results on the system's entropy are derived when lifetimes of components are dependent and identically distributed. Several illustrative examples are also given.

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